For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept.
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OpenStudy (anonymous):
The x and y intercepts are always going to be when the other is 0. Try plugging 0 in for each variable (one at a time) and your result should be the coordinate.
OpenStudy (anonymous):
can you give some example please
OpenStudy (anonymous):
(3/2 , -3)
(0 , -5 )
(1/2 , -7)
jimthompson5910 (jim_thompson5910):
y-intercept
y = -2x - 3
y = -2(0) - 3
y = ???
OpenStudy (anonymous):
-3
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the x-intercept is found by plugging in y = 0 and solving for x
y = -2x - 3
0 = -2x - 3
3 = -2x
3/(-2) = x
x = -3/2 or x = -1.5
so the x-intercept is the point (-3/2, 0) or (-1.5, 0)
OpenStudy (anonymous):
but i thought when we will -2 on the let side it will become +ve
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jimthompson5910 (jim_thompson5910):
not sure what you mean
OpenStudy (anonymous):
when we moved -2 from the right side to the left side will it not become +2
jimthompson5910 (jim_thompson5910):
no you move the -3 over first
jimthompson5910 (jim_thompson5910):
then you move the -2 over
jimthompson5910 (jim_thompson5910):
so you first add 3 to both sides
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jimthompson5910 (jim_thompson5910):
then you divide both sides by -2
OpenStudy (anonymous):
so the coordinates i have given are wrong
jimthompson5910 (jim_thompson5910):
for the x-intercept, yes
jimthompson5910 (jim_thompson5910):
it should be (-3/2, 0) or (-1.5, 0)
OpenStudy (anonymous):
so we just have to give 1 coordinate
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jimthompson5910 (jim_thompson5910):
you mean one point?
yes you give one point because there is only one x-intercept
jimthompson5910 (jim_thompson5910):
and there is only one y-intercept
OpenStudy (anonymous):
i means we will not be imagining 1 instead of zero now
jimthompson5910 (jim_thompson5910):
what do you mean
OpenStudy (anonymous):
for example let x= 1 instead of zero
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jimthompson5910 (jim_thompson5910):
ah i see, so you're looking for other points now
jimthompson5910 (jim_thompson5910):
you can do that, it just won't be called the x or y intercept